Exam 2: Organizing and Visualizing

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The relative frequency is the frequency in each class divided by the total number of observations.

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SCENARIO 2-13 Given below is the stem-and-leaf display representing the amount of detergent used in gallons (with leaves in 10ths of gallons) in a day by 25 drive-through car wash operations in Phoenix. 9\mid147 10\mid02238 11\mid135566777 12\mid223489 13\mid02 -Referring to Scenario 2-13, construct a percentage polygon for the detergent data if the corresponding frequency distribution uses "9.0 but less than 10.0" as the first class.

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SCENARIO 2-19-B You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break are contained in the file Scenario2-19-DataB.XLSX. 493 506 515 491 500 505 517 510 506 503 503 491 495 496 496 505 493 486 504 483 514 494 497 501 493 490 510 494 494 495 494 486 495 506 506 507 502 498 510 501 500 505 492 486 501 496 501 521 510 498 -Referring to Scenario 2-19-B, construct a frequency polygon using "473 but less than 480" as the first class.

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SCENARIO 2-4 A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below. Stem Leaves 3 24 4 03478999 5 0112345 6 12566 7 01 8 9 2 -Referring to Scenario 2-4, what percentage of the respondents rated overall television quality with a rating from 50 through 75?

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SCENARIO 2-7 The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in superior court. S Stem Leaves 1 234447899 2 22223455678889 3 0011135778 4 02345579 5 112466 6 158 -Referring to Scenario 2-7, ________ percent of the cases were adjudicated within the first 2 years.

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SCENARIO 2-19-B You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break are contained in the file Scenario2-19-DataB.XLSX. 493 506 515 491 500 505 517 510 506 503 503 491 495 496 496 505 493 486 504 483 514 494 497 501 493 490 510 494 494 495 494 486 495 506 506 507 502 498 510 501 500 505 492 486 501 496 501 521 510 498 -Referring to Scenario 2-19-B, construct a relative frequency or percentage distribution if the corresponding frequency distribution uses "480 but less than 487" as the first class.

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SCENARIO 2-12 The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 -Referring to Scenario 2-12, construct a table of column percentages.

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SCENARIO 2-7 The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in superior court. S Stem Leaves 1 234447899 2 22223455678889 3 0011135778 4 02345579 5 112466 6 158 -Referring to Scenario 2-7, if a frequency distribution with equal sized classes was made from this data, and the first class was "10 but less than 20," the frequency of that class would be ________.

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A multidimensional contingency table allows you to tally the responses of more than two categorical variables.

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SCENARIO 2-19-B You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break are contained in the file Scenario2-19-DataB.XLSX. 493 506 515 491 500 505 517 510 506 503 503 491 495 496 496 505 493 486 504 483 514 494 497 501 493 490 510 494 494 495 494 486 495 506 506 507 502 498 510 501 500 505 492 486 501 496 501 521 510 498 -Referring to Scenario 2-19-B, construct a cumulative percentage distribution if the corresponding frequency distribution uses "480 but less than 487" as the first class.

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SCENARIO 2-11 The ordered array below resulted from selecting a sample of 25 batches of 500 computer chips and determining how many in each batch were defective. Defects 1 2 4 4 5 5 6 7 9 9 12 12 15 17 20 21 23 23 25 26 27 27 28 29 29 -Referring to Scenario 2-11, construct a cumulative percentage polygon for the defects data if the corresponding frequency distribution uses "0 but less than 5" as the first class.

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You have collected data on the number of U.S. households actively using online banking and/or online bill payment over a 10-year period. Which of the following is the best for presenting the Data?

(Multiple Choice)
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SCENARIO 2-19-B You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break are contained in the file Scenario2-19-DataB.XLSX. 493 506 515 491 500 505 517 510 506 503 503 491 495 496 496 505 493 486 504 483 514 494 497 501 493 490 510 494 494 495 494 486 495 506 506 507 502 498 510 501 500 505 492 486 501 496 501 521 510 498 -Referring to Scenario 2-19-B, if a percentage histogram or percentage distribution was constructed using "473 but less than 480" as the first class, the percentage of bottles with handles that broke after being used for lifting at least 487 but less than 508 times would be ________.

(Short Answer)
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The stem-and-leaf display is often superior to the frequency distribution in that it maintains the original values for further analysis.

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Histograms are used for numerical data while bar charts are suitable for categorical data.

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Referring to Scenario 2-1, how many total claims are represented in the sample?

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To determine the width of class interval, divide the number of class groups by the range of the data.

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SCENARIO 2-19-A You are the quality control manager of a water bottles company. One of the biggest complaints in the past years has been the breakage and, hence, the concern on the durability of the connector between the lid and the bottle which many users use as a handle for the bottles. To collect evidence before implementing any modification to the production process, your department has subjected 50 water bottles to a durability test and the following data on the number of times the handles have been used to lift the bottles before they break are contained in the file Scenario2-19-DataA.XLSX. 495 499 502 500 491 498 498 495 488 516 513 486 504 503 493 504 489 500 495 499 501 507 511 496 486 497 510 504 493 482 511 502 520 514 486 514 500 505 512 500 504 498 503 514 474 489 488 506 517 490 -Referring to Scenario 2-19-A, based on the cumulative percentage polygon or cumulative percentage distribution constructed using "473 but less than 480" as the first class, the percentage of bottles with handles that broke after being used for lifting fewer than 508 times would be ________.

(Short Answer)
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Determining the class boundaries of a frequency distribution is highly subjective.

(True/False)
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The sum of relative frequencies in a distribution always equals 1.

(True/False)
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